What is an equation of the line that passes through the points (1,3) and (8,5)

Answer:[tex]2x - 7y = -19\:or\:y = \frac{2}{7}x + 2\frac{5}{7}[/tex]Step-by-step explanation:First, find the rate of change [slope]:[tex]\frac{-y_1 + y_2}{-x_1 + x_2} = m[/tex][tex]\frac{-3 + 5}{-1 + 8} = \frac{2}{7}[/tex]Then plug these coordinates into the Slope-Intercept Formula instead of the Point-Slope Formula because you get it done much swiftly. It does not matter which ordered pair you choose:5 = 2⁄7[8] + b 2 2⁄7[tex]2\frac{5}{7} = b \\ \\ y = \frac{2}{7}x + 2\frac{5}{7}[/tex]If you want it in Standard Form: y = 2⁄7x + 2 5⁄7- 2⁄7x - 2⁄7x________________−2⁄7x + y = 2 5⁄7 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]−7[−2⁄7x + y = 2 5⁄7][tex]2x - 7y = -19[/tex]__________________________________________________________3 = 2⁄7 + b[tex]2\frac{5}{7} = b \\ \\ y = \frac{2}{7}x + 2\frac{5}{7}[/tex] y = 2⁄7x + 2 5⁄7- 2⁄7x - 2⁄7x_______________−2⁄7x + y = 2 5⁄7 [We do not want fractions in our Standard Equation, so multiply by the denominator to get rid of it.]−7[−2⁄7x + y = 2 5⁄7][tex]2x - 7y = -19[/tex]** You see? I told you it did not matter which ordered pair you choose because you will always get the exact same result.I am joyous to assist you anytime.